76844915940 has 384 divisors, whose sum is σ = 251847267840. Its totient is φ = 17342595072.

The previous prime is 76844915933. The next prime is 76844915947. The reversal of 76844915940 is 4951944867.

It is an interprime number because it is at equal distance from previous prime (76844915933) and next prime (76844915947).

It is a super-2 number, since 2×76844915940² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (76844915947) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 193563822 + ... + 193564218.

It is an arithmetic number, because the mean of its divisors is an integer number (655852260).

Almost surely, 2^76844915940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76844915940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125923633920).

76844915940 is an abundant number, since it is smaller than the sum of its proper divisors (175002351900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76844915940 is a wasteful number, since it uses less digits than its factorization.

76844915940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 76844915940 in words is "seventy-six billion, eight hundred forty-four million, nine hundred fifteen thousand, nine hundred forty".